CENTRAL LIMIT THEOREMS FOR WEIGHTED ＄D[0,1]＄ -VALUED MIXING SEQUENCES II. FUNCTIONAL CENTRAL LIMIT THEOREMS FOR INTEGRATED VARIABLES
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概要
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As a continuation of [8], in this paper, we establish functional central limit theorems for weighted and integrated random functions of the type ＄￥frac{1}{￥sqrt{n}}￥sum_{:=1}^{n}h_{n,i}(e)M_{n}:(t)＄ and ￥frac{1}{￥sqrt{n}}￥sum_{i=1}^{￥prime*}￥int_{0}^{t}h_{n,i}(s)dM_{n,i}(s)＄ satisfying some strong mixing condition where ＄￥{￥{M_{n,i}(s) : 0￥leq s￥leq 1￥};n￥geq 1￥}＄ is a triangular array of mean-zero martingales and ＄￥{h_{n}:￥}＄ is a triangular array of nonrandom functions.
- Yokohama City University and Yokohama National Universityの論文
- 1997-00-00
Yokohama City University and Yokohama National University | 論文
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